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Hybrid Viscosity Approaches to General Systems of Variational Inequalities with Hierarchical Fixed Point Problem Constraints in Banach Spaces
Joint Authors
al-Mezel, Saleh A.
Latif, Abdul
Ceng, Lu-Chuan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-17
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The purpose of this paper is to introduce and analyze hybrid viscosity methods for a general system of variational inequalities (GSVI) with hierarchical fixed point problem constraint in the setting of real uniformly convex and 2-uniformly smooth Banach spaces.
Here, the hybrid viscosity methods are based on Korpelevich’s extragradient method, viscosity approximation method, and hybrid steepest-descent method.
We propose and consider hybrid implicit and explicit viscosity iterative algorithms for solving the GSVI with hierarchical fixed point problem constraint not only for a nonexpansive mapping but also for a countable family of nonexpansive mappings in X, respectively.
We derive some strong convergence theorems under appropriate conditions.
Our results extend, improve, supplement, and develop the recent results announced by many authors.
American Psychological Association (APA)
Ceng, Lu-Chuan& al-Mezel, Saleh A.& Latif, Abdul. 2014. Hybrid Viscosity Approaches to General Systems of Variational Inequalities with Hierarchical Fixed Point Problem Constraints in Banach Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1015118
Modern Language Association (MLA)
Ceng, Lu-Chuan…[et al.]. Hybrid Viscosity Approaches to General Systems of Variational Inequalities with Hierarchical Fixed Point Problem Constraints in Banach Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-1015118
American Medical Association (AMA)
Ceng, Lu-Chuan& al-Mezel, Saleh A.& Latif, Abdul. Hybrid Viscosity Approaches to General Systems of Variational Inequalities with Hierarchical Fixed Point Problem Constraints in Banach Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1015118
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015118